Gap soliton dynamics in an optical lattice as a parametrically driven pendulum

被引:3
作者
Khomeriki, R. [1 ,2 ]
Leon, J. [1 ]
机构
[1] Univ Montpellier 2, CNRS, IN2P3, Lab Phys Theor & Astroparticules,UMR 5207, F-34095 Montpellier, France
[2] Tbilisi State Univ, Dept Phys, GE-0128 Tbilisi, Georgia
来源
PHYSICAL REVIEW A | 2009年 / 80卷 / 03期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevA.80.033822
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A long wavelength optical lattice is generated in a two-level medium by low-frequency contrapropagating beams. Then a short wavelength gap soliton generated by evanescent boundary instability (supratransmission) undergoes a dynamics shown to obey the Newton equation of the parametrically driven pendulum, hence presenting extremely rich, possibly chaotic, dynamical behavior. The theory is sustained by numerical simulations and provides an efficient tool to study soliton trajectories.
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页数:4
相关论文
共 12 条
[1]  
[Anonymous], 2003, Nonlinear Science
[2]   OPTICAL-RESPONSE OF A NONLINEAR DIELECTRIC FILM [J].
CHEN, W ;
MILLS, DL .
PHYSICAL REVIEW B, 1987, 35 (02) :524-532
[3]   Finding the windows of regular motion within the chaos of ordinary differential equations [J].
Churukian, AD ;
Snider, DR .
PHYSICAL REVIEW E, 1996, 53 (01) :74-79
[4]   The Maxwell-Bloch description of 1/1 resonances [J].
Clerc, M ;
Coullet, P ;
Tirapegui, E .
OPTICS COMMUNICATIONS, 1999, 167 (1-6) :159-164
[5]  
FAIN VM, 1969, QUANTUM ELECT
[6]  
Gallavotti G, 2008, LECT NOTES PHYS, V728, P1, DOI 10.1007/978-3-540-72995-2_1
[7]   Driving light pulses with light in two-level media [J].
Khomeriki, R. ;
Leon, J. .
PHYSICAL REVIEW LETTERS, 2007, 99 (18)
[8]   Slow-light solitons in two-level media generated by evanescent fields [J].
Leon, Jerome .
PHYSICAL REVIEW A, 2007, 75 (06)
[9]  
Mattis D. C., 1993, MANY BODY PROBLEMS
[10]   PERTURBATION APPROACH TO NONLINEAR-SYSTEMS .2. INTERACTION OF NONLINEAR MODULATED WAVES [J].
OIKAWA, M ;
YAJIMA, N .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (02) :486-496